{"title":"Wave attenuation in a metamaterial beam with time delay control","authors":"Xiaochen Mao \n (, ), Xia Tong \n (, ), Liufei Zhang \n (, ), Youheng Dong \n (, )","doi":"10.1007/s10409-024-24192-x","DOIUrl":null,"url":null,"abstract":"<div><p>This paper studies the bandgap characteristics of a locally resonant metamaterial beam with time delays. The dispersion relations are addressed based on transfer matrix method. The governing equations of motion of the beam in the frequency domain are given according to spectral element method. The amplitude-frequency responses of the forced beam are determined by solving linear algebraic equations. The obtained results show that the time-delayed feedback control has great relationships with the location, width and number of the bandgaps. It is interesting that the time delay can change the direction of the movement of the bandgap and give rise to the generation of multiple bandgaps. The influences of different combinations of control parameters on the bandgap properties are shown, such as broadening effects.\n</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"41 4","pages":""},"PeriodicalIF":3.8000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica Sinica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10409-024-24192-x","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
This paper studies the bandgap characteristics of a locally resonant metamaterial beam with time delays. The dispersion relations are addressed based on transfer matrix method. The governing equations of motion of the beam in the frequency domain are given according to spectral element method. The amplitude-frequency responses of the forced beam are determined by solving linear algebraic equations. The obtained results show that the time-delayed feedback control has great relationships with the location, width and number of the bandgaps. It is interesting that the time delay can change the direction of the movement of the bandgap and give rise to the generation of multiple bandgaps. The influences of different combinations of control parameters on the bandgap properties are shown, such as broadening effects.
期刊介绍：
Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences.
Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences.
In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest.
Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics
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